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arXiv · 2111.05795

The Weingarten map and curvatures of SL(n, R)

Supravat Sarkar
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Abstract

In this article, we shall derive by elementary calculations the Gauss map, spherical image, Weingarten map and the curvatures at identity of the special linear group, that is, the matrices of determinant 1. We could not find any reference where this simple, nice computation has been explicitly put down.

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Supravat Sarkar. 2021-11-04. The Weingarten map and curvatures of SL(n, R). https://arxiv.org/abs/2111.05795

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